Derivation of buoyancy formula from the cause of buoyancy If the title is more detailed, it's better to have a picture

Derivation of buoyancy formula from the cause of buoyancy If the title is more detailed, it's better to have a picture

Buoyancy is caused by the pressure difference between the upper and lower surfaces of an object, and the pressure of the liquid around the same depth counteracts each other
Taking a regular cube as an example, let the area of one of its faces be s,
1. If it floats, it's immersed in the liquid at a depth of H,
The pressure difference between the liquid and its upper and lower surfaces = the pressure of the liquid on its lower surface = P liquid GH x s.sh = V row, so f buoyancy = P liquid GV row
2. If it is completely immersed in the liquid, the distance between the upper surface and the water surface is H1, and the distance between the lower surface and the water surface is H2,
Then the pressure difference between the liquid and its upper and lower surfaces = P liquid gh2s-p liquid gh1s = P liquid GS (h2-h1), s (h2-h1) = V row,
So f buoyancy = P liquid GV discharge